Modified Kumaraswamy Negative Exponential Distribution

Abstract

In this research a four parameter continuous probability distribution model called Kumaraswamy negative exponential distribution (KNED) was proposed as an enhancement of the negative exponential distribution. The probability density function and cumulative distribution function of the modified distribution were derived. Additionally, the validity of this distribution was demonstrated. Also, various properties of the modified distribution for instance survival and hazard functions, moments, moment generating functions, and order statistics were obtained. Parameters for the modified distribution were estimated using maximum likelihood estimation method. Furthermore, the proposed model was compared to other variations of exponential distribution using some analytical measures of goodness of fit on information criteria and the results obtained shows that our proposed model gives better fit, thus proving greater flexibility in modelling real-world phenomenon.